## Advanced Studies in Pure Mathematics

- Adv. Stud. Pure Math.
- Probability and Number Theory — Kanazawa 2005, S. Akiyama, K. Matsumoto, L. Murata and H. Sugita, eds. (Tokyo: Mathematical Society of Japan, 2007), 323 - 365

### Approximations to the Goldbach and twin prime problem and gaps between consecutive primes

#### Abstract

We give a survey about the topics mentioned in the title, with a more detailed description of the recent joint results of Goldston, Yıldırım and the author about small gaps between consecutive primes.

#### Article information

**Dates**

Received: 9 March 2006

Revised: 27 April 2006

First available in Project Euclid:
27 January 2019

**Permanent link to this document**

https://projecteuclid.org/
euclid.aspm/1548550906

**Digital Object Identifier**

doi:10.2969/aspm/04910323

**Mathematical Reviews number (MathSciNet)**

MR2405611

**Zentralblatt MATH identifier**

1229.11131

**Subjects**

Primary: 11N05: Distribution of primes

Secondary: 11P32: Goldbach-type theorems; other additive questions involving primes

#### Citation

Pintz, János. Approximations to the Goldbach and twin prime problem and gaps between consecutive primes. Probability and Number Theory — Kanazawa 2005, 323--365, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04910323. https://projecteuclid.org/euclid.aspm/1548550906